Chimera Death: Symmetry Breaking in Dynamical Networks

Abstract

For a network of generic oscillators with nonlocal topology and symmetry-breaking coupling we establish novel partially coherent inhomogeneous spatial patterns, which combine the features of chimera states (coexisting incongruous coherent and incoherent domains) and oscillation death (oscillation suppression), which we call chimera death. We show that due to the interplay of nonlocality and breaking of rotational symmetry by the coupling two distinct scenarios from oscillatory behavior to a stationary state regime are possible: a transition from an amplitude chimera to chimera death via in-phase synchronized oscillations, and a direct abrupt transition for larger coupling strength.

arXiv comment5 pages, 5 figures

References in corpus (18)

• Chimera States for Coupled Oscillators
• Chimera States in Mechanical Oscillator Networks
• Loss of coherence in dynamical networks: spatial chaos and chimera states
• When Nonlocal Coupling Between Oscillators Becomes Stronger: Patched Synchrony or Multi-Chimera States
• Distributed Delays Facilitate Amplitude Death of Coupled Oscillators
• Solvable Model of Spiral Wave Chimeras
• Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling
• Clustered chimera states in delay coupled oscillator systems
• Controlling synchrony by delay coupling in networks: from in-phase to splay and cluster states
• Spontaneous Synchrony Breaking
• Collective chaos in pulse-coupled neural networks
• Self-Emerging and Turbulent Chimeras in Oscillator Chains
• Oscillation death in diffusively coupled oscillators by local repulsive link
• Symmetry-breaking transitions in networks of nonlinear circuit elements
• Chimera and globally clustered chimera: Impact of time delay
• Time delay control of symmetry-breaking primary and secondary oscillation death
• Amplitude and phase dynamics in oscillators with distributed-delay coupling
• Picosecond Nonlinear Relaxation of Photoinjected Carriers in a Single GaAs/AlGaAs Quantum Dot

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• Controlling Chimera States - The influence of excitable units
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• Partial Synchronization and Partial Amplitude Death in Mesoscale Network Motifs
• Synchronization Patterns: From Network Motifs to Hierarchical Networks
• Networks of coupled oscillators: from phase to amplitude chimeras
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• Diverse coherence-resonance chimeras in coupled type-I excitable systems
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• Persistence of chimera states and the challenge for synchronization in real-world networks
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• Amplitude mediated spiral chimera pattern in a nonlinear reaction-diffusion system
• Phase and amplitude dynamics of coupled oscillator systems on complex networks
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